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Finding the Third Proportional to 295,497 and 653,202

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Solution

The third proportional to 295,497 and 653,202 is: 1,443,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,497 : 653,202 = 653,202 : x
  2. Step 2: Convert to fraction form
    295,497/653,202 = 653,202/x
  3. Step 3: Cross multiply
    295,497x = 653,202 × 653,202
  4. Step 4: Simplify right side
    295,497x = 426,672,852,804
  5. Step 5: Solve for x
    x = 426,672,852,804/295,497
  6. Step 6: Final answer
    x = 1,443,916.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.